**Complex Analysis**

by Christian Berg

**Publisher**: Kobenhavns Universitet 2012**Number of pages**: 192

**Description**:

From the table of contents: Introduction; Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Argument, Logarithm, Powers; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Elliptic Functions and Elliptic Curves**

by

**Jan Nekovar**-

**Institut de Mathematiques de Jussieu**

Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.

(

**3526**views)

**The Elementary Properties of the Elliptic Functions**

by

**Alfred Cardew Dixon**-

**Macmillan**

This textbook will supply the wants of those students who, for reasons connected with examinations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not including the Theory of Transformations and the Theta Functions.

(

**3329**views)

**Lectures on Modular Functions of One Complex Variable**

by

**H. Maass**-

**Tata institute of Fundamental Research**

This is an elementary introduction to the theory of modular functions and modular forms. Basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions are the only prerequisites.

(

**4817**views)

**Lectures on The Theory of Functions of Several Complex Variables**

by

**B. Malgrange**-

**Tata Institute of Fundamental Research**

Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.

(

**5813**views)